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34242832 = 2413193853
BaseRepresentation
bin1000001010100…
…0000100010000
32101102201100001
42002220010100
532231232312
63221535344
7564026221
oct202500420
971381301
1034242832
1118369168
12b574554
13712c240
144795248
153016057
hex20a8110

34242832 has 40 divisors (see below), whose sum is σ = 71903384. Its totient is φ = 15704064.

The previous prime is 34242827. The next prime is 34242841. The reversal of 34242832 is 23824243.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 32764176 = 1216^2 + 5724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34242832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39718 + ... + 40570.

Almost surely, 234242832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34242832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35951692).

34242832 is an abundant number, since it is smaller than the sum of its proper divisors (37660552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34242832 is a wasteful number, since it uses less digits than its factorization.

34242832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 34242832 is about 5851.7375197457. The cubic root of 34242832 is about 324.7306075315.

The spelling of 34242832 in words is "thirty-four million, two hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 853 1544 1706 2509 3088 3412 5018 6824 10036 11089 13648 20072 22178 40144 44356 88712 164629 177424 329258 658516 1317032 2140177 2634064 4280354 8560708 17121416 34242832